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Example 1
Simplify the expression $3\sqrt{25y} -3\sqrt y$
- $0$
- $6 \sqrt{6y}$
- $15 y - 3\sqrt y$
- $12 \sqrt y$
- $15 \sqrt y$
Solution
This example is about simplifying algebraic expressions including Square Roots.
- First note that $\sqrt{25y}$ can be simplified as follows
$\sqrt{25y}=\sqrt{25}\sqrt{y}=5 \sqrt y$
- We now substitute $\sqrt{25y}$ by $5 \sqrt y$ in the given expression and simplify
$3\sqrt{25y} -3\sqrt y=3 \cdot 5\sqrt y-3\sqrt y$
$=15\sqrt y - 3\sqrt y$
$= 12\sqrt y$
Answer D
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